A generalization of the Bernstein polynomials

DOI10.1006/jmaa.1997.5349zbMath0879.41010OpenAlexW2028219026MaRDI QIDQ1359559

Jia-Ding Cao

Publication date: 6 July 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5349

zbMATH Keywords

Bernstein polynomialsdegree of approximation

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items

On generalized integral Bernstein operators based on \(q\)-integers, Approximation for a generalization of Bernstein operators, Inequalities for a class of multivariate operators, Approximation of the continuous functions on \(l_p\) spaces with \(p\) an even natural number, A note on generalized Bernstein polynomial density estimators, On the analyticity of functions approximated by their \(q\)-Bernstein polynomials when \(q > 1\), Bernstein type asymptotic evaluations for linear positive operators on \(C\left[ \alpha ,\beta \right\)], Intermediate Voronovskaja type results for the Lototsky-Bernstein type operators, The sharpness of convergence results for q-Bernstein polynomials in the case q > 1, Voronovskaja type results and their applications, A generalization of Bernstein-Kantorovič operators, On approximation properties of generalized q-Bernstein-Kantorovich operators

Cites Work

• The approximation of continuous functions by positive linear operators
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